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2020 | OriginalPaper | Buchkapitel

A Full Spectrum Analysis of a Jeffcott Rotor with Switching Crack in the Presence of Internal and External Damping

verfasst von : D. K. Roy, Rajiv Tiwari

Erschienen in: Advances in Rotor Dynamics, Control, and Structural Health Monitoring

Verlag: Springer Singapore

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Abstract

This paper presents the full spectrum analysis of a cracked Jeffcott rotor with the internal and external damping. In this study, a mathematical model is developed for a Jeffcott rotor considering both external and internal damping, crack force, and unbalance force. The crack in the rotor model is considered as switching crack function in the form of a rectangular shape, which provide forces that generate the forward and backward whirls at varied harmonics. The assumption of weight dominance simplifies the switching crack model to a linear one; however, it gives rise to the internal damping due to rubbing on crack faces. The rotor model is numerically simulated to provide responses from two orthogonal directions to obtain the full spectrum analysis to show both forward and backward whirls.

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Literatur
1.
Zurück zum Zitat Ehrich FF (1964) Shaft whirl induced by rotor internal damping. J Appl Mech 31(2):279–282CrossRef Ehrich FF (1964) Shaft whirl induced by rotor internal damping. J Appl Mech 31(2):279–282CrossRef
2.
Zurück zum Zitat Chen LW, Ku DM (1991) Analysis of whirl speeds of rotor-bearing systems with internal damping by C0 finite elements. Finite Elem Anal Des 9(2):169–176CrossRef Chen LW, Ku DM (1991) Analysis of whirl speeds of rotor-bearing systems with internal damping by C0 finite elements. Finite Elem Anal Des 9(2):169–176CrossRef
3.
Zurück zum Zitat Ku DM (1998) Finite element analysis of whirl speeds for rotor-bearing systems with internal damping. Mech Syst Signal Process 12(5):599–610CrossRef Ku DM (1998) Finite element analysis of whirl speeds for rotor-bearing systems with internal damping. Mech Syst Signal Process 12(5):599–610CrossRef
4.
Zurück zum Zitat Melanson J, Zu JW (1998) Free vibration and stability analysis of internally damped rotating shafts with general boundary conditions. J Vib Acoust 120(3):776–783CrossRef Melanson J, Zu JW (1998) Free vibration and stability analysis of internally damped rotating shafts with general boundary conditions. J Vib Acoust 120(3):776–783CrossRef
5.
Zurück zum Zitat Genta G (2004) On a persistent misunderstanding of the role of hysteretic damping in rotordynamics. Trans-Am Soc Mech Eng J Vib Acoust 126(3):459–461CrossRef Genta G (2004) On a persistent misunderstanding of the role of hysteretic damping in rotordynamics. Trans-Am Soc Mech Eng J Vib Acoust 126(3):459–461CrossRef
6.
Zurück zum Zitat Dimentberg MF (2005) Vibration of a rotating shaft with randomly varying internal damping. J Sound Vib 285(3):759–765MathSciNetCrossRef Dimentberg MF (2005) Vibration of a rotating shaft with randomly varying internal damping. J Sound Vib 285(3):759–765MathSciNetCrossRef
7.
Zurück zum Zitat Vatta F, Vigliani A (2008) Internal damping in rotating shafts. Mech Mach Theory 43(11):1376–1384CrossRef Vatta F, Vigliani A (2008) Internal damping in rotating shafts. Mech Mach Theory 43(11):1376–1384CrossRef
8.
Zurück zum Zitat Goldman P, Muszynska A (1999) Application of full spectrum to rotating machinery diagnostics. Orbit 20(1):17–21 Goldman P, Muszynska A (1999) Application of full spectrum to rotating machinery diagnostics. Orbit 20(1):17–21
9.
Zurück zum Zitat Gasch R (2008) Dynamic behaviour of the Laval rotor with a transverse crack. Mech Syst Signal Process 22(4):790–804CrossRef Gasch R (2008) Dynamic behaviour of the Laval rotor with a transverse crack. Mech Syst Signal Process 22(4):790–804CrossRef
10.
Zurück zum Zitat Patel TH, Darpe AK (2008) Vibration response of a cracked rotor in presence of rotor–stator rub. J Sound Vib 317(3):841–865CrossRef Patel TH, Darpe AK (2008) Vibration response of a cracked rotor in presence of rotor–stator rub. J Sound Vib 317(3):841–865CrossRef
11.
Zurück zum Zitat Zhao X, Patel TH, Zuo MJ (2012) Multivariate EMD and full spectrum based condition monitoring for rotating machinery. Mech Syst Signal Process 27:712–728CrossRef Zhao X, Patel TH, Zuo MJ (2012) Multivariate EMD and full spectrum based condition monitoring for rotating machinery. Mech Syst Signal Process 27:712–728CrossRef
12.
Zurück zum Zitat Shravankumar C, Tiwari R (2013) Identification of stiffness and periodic excitation forces of a transverse switching crack in a Laval rotor. Fatigue Fract Eng Mater Struct 36(3):254–269CrossRef Shravankumar C, Tiwari R (2013) Identification of stiffness and periodic excitation forces of a transverse switching crack in a Laval rotor. Fatigue Fract Eng Mater Struct 36(3):254–269CrossRef
13.
Zurück zum Zitat Singh S, Tiwari R (2015) Model-based fatigue crack identification in rotors integrated with active magnetic bearings. J Vib Control 23(6):980–1000MathSciNetCrossRef Singh S, Tiwari R (2015) Model-based fatigue crack identification in rotors integrated with active magnetic bearings. J Vib Control 23(6):980–1000MathSciNetCrossRef
14.
Zurück zum Zitat Singh S, Tiwari R (2016) Model-based switching-crack identification in a Jeffcott rotor with an offset disk integrated with an active magnetic bearing. J Dyn Syst Meas Control 138(3):031006CrossRef Singh S, Tiwari R (2016) Model-based switching-crack identification in a Jeffcott rotor with an offset disk integrated with an active magnetic bearing. J Dyn Syst Meas Control 138(3):031006CrossRef
15.
Zurück zum Zitat Mayes IW, Davies WGR (1984) Analysis of the response of a multi-rotor-bearing system containing a transverse crack in a rotor. J Vib, Acoust, Stress, Reliab Des 106(1):139–145CrossRef Mayes IW, Davies WGR (1984) Analysis of the response of a multi-rotor-bearing system containing a transverse crack in a rotor. J Vib, Acoust, Stress, Reliab Des 106(1):139–145CrossRef
16.
Zurück zum Zitat Jun OS, Eun HJ, Earmme YY, Lee CW (1992) Modelling and vibration analysis of a simple rotor with a breathing crack. J Sound Vib 155(2):273–290CrossRef Jun OS, Eun HJ, Earmme YY, Lee CW (1992) Modelling and vibration analysis of a simple rotor with a breathing crack. J Sound Vib 155(2):273–290CrossRef
Metadaten
Titel
A Full Spectrum Analysis of a Jeffcott Rotor with Switching Crack in the Presence of Internal and External Damping
verfasst von
D. K. Roy
Rajiv Tiwari
Copyright-Jahr
2020
Verlag
Springer Singapore
DOI
https://doi.org/10.1007/978-981-15-5693-7_9

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